Question #37132

1 Answer
Sep 28, 2017

-156x+C

Explanation:

Rule for integration of Polynomial is
intx^n dx=x^(n+1)/(n+1)+C

To finds the integration of Constant value like a
int(a) dx=?

Now we can Write a as axx1 because the value of constant doesn't change if we multiply with 1
int(axx1) dx
We can bring out constant a from integration
aint(1) dx

Now we know that x^0=1
Zeroth power of any term will equal to one.

aint(x^0) dx

Now apply Rule of Integration for Polynomials intx^n dx=x^(n+1)/(n+1)+C
we get

aint(x^0) dx=ax^(0+1)/(0+1)+C
=ax^1+C
=ax+C

Hence
inta dx=ax+C

or
int-156 dx=-156x+C

C is the constant of Indefinite integration.

Hope you learn how can we integrate constant term.